Expansions for Fractional Index

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For n Q, we have:

Example:

Write the first four terms in the ascending powers of x in the expansions of the following:

Suggested answer:

|4x|=|4||x|

= 4|x|<4(1/4)=1.

|4x|<1

(1 + 4x)-5 can be expanded by Binomial theorem.

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